C
Because they can both be simplified to 2/3
Answer:
The expression that can be used to represent the volume of the trapezoidal prism is 
Step-by-step explanation:
step 1
Find the area of the trapezoidal base
The area of a trapezoid is given by the formula
we have
substitute
step 2
Find the volume of the trapezoidal prism
we know that
The volume of the prim is given by
where
B is the area of the base
H is the height of the prism
we have
substitute
therefore
The expression that can be used to represent the volume of the trapezoidal prism is
Answer:
t = 1
Step-by-step explanation:
16 - 2t = t + 9 + 4t
Group like terms
16 - 2t = t + 4t +9
Add similar elements t + 4t = 5t
16 - 2t = 5t + 9
Subtract 16 from both sides
16 - 2t - 16 = 5t + 9 - 16
Simplify
-2t = 5t - 7
Subtract 5t from each side
-2t - 5t = 5t - 7 - 5t
Simplify
-7t = -7
Divide both sides by -7
-7t/ -7 = - 7/ - 7
Simplify
t = 1
50 hot cheetos and 30 chili cheese fries
1.50c + 2.50f = 150
c + f = 80
c = 80 - f
1.50(80 - f) + 2.50f = 150
120 - 1.50f + 2.50f = 150
120 + 1.00f = 150
1.00f = 30
f = 30
c = 80 - f
c = 80 - 30
c = 50
Hi, It is only to replace Cosx = Sinx
In the Identity equation :
(Cosx)^2 + (Sinx)^2 = 1
As Cos = Sin
Then,
(Sinx)^2 + (Sinx)^2 = 1
2.(Sinx)^2 = 1
Dividing both the sides by 2
(Sinx)^2 = 1/2
Applying square root on both the sides:
(Sinx) = √(1) / √(2)
Sinx = √(1)/√(2) × √(2)/√(2)
Sinx = √(2)/√(4)
Sinx = √(2)/2
Applying ArcSin on the sides of equation:
ArcSin(Sinx) = ArcSin( √(2)/2)
Canceling AcrSin with Sin
X = 45°
Or
As pi = 180°
Then applying the rule of 3
Pi _______ 180°
Y _______ 45°
Pi.45° = 180° .Y
180y = 45pi
y = 45pi/180
y = pi/4
As the Cos and Sin are igual in the 3 quadrant.
y = 45° + 180°
y = 225°
Or
y = pi/4 + pi
y = 5pi/4
Then,
y = pi/4 or 5pi/4
I hope this helped
